Scattering in random profiling surfaces

We use the profile of a parabolic mirror to calculate the scattered electromagnetic field, this mirror can be used in the design and construction of a reflector telescope. We calculate the effect caused by the roughness on the performance of this optical elements, the calculation is done within the Rayleigh approximation. In another work presented in this meeting we show a comparison of the results obtained numerically using different roughness parameters and calculate its effect on the aberrations of the wavefront.